An analytic model of three-body mean motion resonances

DOI10.1023/A:1008347020890zbMath1468.70006OpenAlexW1632968087MaRDI QIDQ2229676

Alessandro Morbidelli, David Nesvorný

Publication date: 18 February 2021

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008347020890

zbMATH Keywords

chaotic motionresonancesasteroid belt

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Related Items (7)

Secular resonances between bodies on close orbits. II: Prograde and retrograde orbits for irregular satellites ⋮ A remark on the onset of resonance overlap ⋮ An integrable model for first-order three-planet mean motion resonances ⋮ Lyapunov exponents in resonance multiplets ⋮ An Overview on the Nekhoroshev Theorem ⋮ Chaotic Di?usion of Asteroids ⋮ The resonance perturbations of the (39991) iochroma family

Cites Work

• Stability of motions near resonances in quasi-integrable Hamiltonian systems
• On the relationship between Lyapunov times and macroscopic instability times
• The Nekhoroshev theorem and the asteroid belt dynamical system
• Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: an extension of classical adiabatic theory
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